Naslov
Effects of rough boundary and boundary conditions on the lubrication process with micropolar fluid

Autori
Pažanin, Igor

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Skup
Multiscale Modelling in Fluid Mechanics and Fluid- Structure Interaction

Mjesto i datum
Vilnius, Litva, 07.10.2019. - 11.10.2019

Vrsta sudjelovanja
Pozvano predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
lubrication process ; micropolar fluid ; nonzero boundary conditions ; rough boundary ; asymptotic analysis ; numerical results

Sažetak
The lubrication theory is mostly concerned with the behavior of a lubricant flowing through a narrow gap. Motivated by the experimental findings from the tribology literature, we take the lubricant to be a micropolar fluid and study its behavior in a thin domain with specific rough boundary. We first consider (commonly used) zero boundary condition, and, after that, we impose non-zero boundary conditions for the microrotation. Using rigorous asymptotic analysis of the corresponding 3D boundary value problems, we propose simplified mathematical models acknowledging the roughness-induced effects and the effects of the boundary conditions on the macroscopic flow. In case of non-zero boundary conditions, we study numerically the influence of the roughness on the performance of a linear slider bearing. The numerical results clearly indicate that the use of the rough surfaces may contribute to enhance the mechanical performance of such device.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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